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Finding the Third Proportional to 120,193.88 and 259,660.69

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Solution

The third proportional to 120,193.88 and 259,660.69 is: 560,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,193.88 : 259,660.69 = 259,660.69 : x
  2. Step 2: Convert to fraction form
    120,193.88/259,660.69 = 259,660.69/x
  3. Step 3: Cross multiply
    120,193.88x = 259,660.69 × 259,660.69
  4. Step 4: Simplify right side
    120,193.88x = 67,423,672,632.97
  5. Step 5: Solve for x
    x = 67,423,672,632.97/120,193.88
  6. Step 6: Final answer
    x = 560,957.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.